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Relativity Theory Does Not Imply that the Future Already Exists: A Counterexample

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 153))

It is often said that the relativistic fusion of time with space rules out genuine change or “becoming”. I offer the classical sequential growth models of causal set theory as counterexamples.

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References

  1. David P. Rideout and Rafael D. Sorkin, A Classical Sequential Growth Dynamics for Causal Sets, Phys. Rev. D 61 : 024002 (2000) gr-qc/9904062

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  2. Madhavan Varadarajan and David Rideout, A General Solution for Classical Sequential Growth Dynamics of Causal Sets, Phys. Rev. D 73 : 104021 (2006) gr-qc/0504066

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  3. Graham Brightwell, Fay Dowker, Raquel S. García, Joe Henson, and Rafael D. Sorkin, Observables in Causal Set Cosmology, Phys. Rev. D 67 : 084031 (2003) gr-qc/0210061; Graham Brightwell, H. Fay Dowker, Raquel S. García, Joe Henson, and Rafael D. Sorkin, “General Covariance and the ‘Problem of Time’ in a Discrete Cosmology”, in K.G. Bowden, Ed., Correlations, Proceedings of the ANPA 23 conference, held August 16-21, 2001, Cambridge, UK (Alternative Natural Philosophy Association, London, 2002), pp 1-17 gr-qc/0202097; Fay Dowker and Sumati Surya, “Observables in Extended Percolation Models of Causal Set Cosmology” Class. Quant. Grav. 23 : 1381-1390 (2006) gr-qc/0504069

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  4. Luca Bombelli, Joohan Lee, David Meyer, and Rafael D. Sorkin, Spacetime as a Causal Set, Phys. Rev. Lett. 59 : 521-524 (1987)

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  5. Mili č Cˇ apek, The philosophical impact of contemporary physics (Van Nostrand, 1961)

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  6. Seth Major, David Rideout, Sumati Surya, Spatial Hypersurfaces in Causal Set Cosmology, Class.Quant.Grav. 23 : 4743-4752 (2006) gr-qc/0506133; Seth Major, David Rideout, and Sumati Surya, On Recovering Continuum Topology from a Causal Set gr-qc/0604124

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  7. Graham Brightwell, unpublished notes on general covariance.

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  8. Luca Bombelli, Joe Henson, and Rafael D. Sorkin, Discreteness without symmetry breaking: a theorem (in preparation) gr-qc/0605006

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Sorkin, R.D. (2007). Relativity Theory Does Not Imply that the Future Already Exists: A Counterexample. In: Petkov, V. (eds) Relativity and the Dimensionality of the World. Fundamental Theories of Physics, vol 153. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6318-3_9

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